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Finding the Fourth Proportional to 25,571.16, 38,358.96 and 7,805.82

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Solution

The fourth proportional to 25,571.16, 38,358.96 and 7,805.82 is: 11,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571.16 : 38,358.96 = 7,805.82 : x
  2. Step 2: Convert to fraction form
    25,571.16/38,358.96 = 7,805.82/x
  3. Step 3: Cross multiply
    25,571.16x = 38,358.96 × 7,805.82
  4. Step 4: Simplify right side
    25,571.16x = 299,423,137.15
  5. Step 5: Solve for x
    x = 299,423,137.15/25,571.16
  6. Step 6: Final answer
    x = 11,709.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.